Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 441:

  A Math-club class has a ratio of girls to boys of 1.5 to 4.5. Out of all the boys 16.66% are left-handed, how many left-handed boys are there in the class assuming that there are 24 students all together.

  A. 8

  B. 6

  C. 5

  D. 4

  E. 3

  Correct Answer: E

  This is a standard ratio problem. 24 / (1.5 + 4.5) = 4.

  The number of boys is 4 x 4.5 = 18.

  The number of girls is 4 x 1.5 = 6.

  16.66% out of 18 are 3 boys.

• Question 442:

  A GMAT class has a ratio of girls to boys of 1.5 to 3. If the class has a total of 36 students, how many more girls are there than boys?

  A. 8

  B. 10

  C. 12

  D. 15

  E. 18

  Correct Answer: C

  This is a standard ratio problem. 36 / (1.5 + 3) = 8.

  The number of boys is 8 x 3 = 24.

  The number of girls is 8 x 1.5 = 12.

  The difference between the numbers is 12.

• Question 443:

  In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (8, 0), (0, -3.5), (-8, 0)?

  A. 56

  B. 88

  C. 112

  D. 116

  E. 120

  Correct Answer: A

  First draw the x and y axes, then plot the points and connect them. The area of a rhombus is simply the

  product of its diagonals divided by 2.

  The area is = 16 x 7 = 112/2=56.

• Question 444:

  In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (4, 1), (1, 1), (1, -3) and (-4, -3)?

  A. 16

  B. 20

  C. 24

  D. 25

  E. 30

  Correct Answer: B

  First draw the x and y axes, then plot the points and connect them, right away you can see that the base is 5 units and the height is 4 units. The area of the rectangle is 20.

• Question 445:

  An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 16%. How much will an air-conditioning unit cost in November?

  A. $458

  B. $470

  C. $472

  D. $484

  E. $491

  Correct Answer: A

  Pay attention, when you raise a number by X% and than you reduce X% you don't get the original number

  again because the second time you took X% off you reduced it from a larger number thus answer A is not

  the correct one, let's check:

  470 x 0.84 = 394.8.

  394.8 x 1.16 = approximately $458.

  A simpler way to solve this problem is by knowing that the price would be lower than the original price

  because we increased and decreased the same amount of percentage.

• Question 446:

  A frustrated greengrocer is trying to cell cucumbers at a price of $1.5 per Kg. Unfortunately he has no success. The greengrocer gives a discount of 18% on the original price but than the cucumbers are sold too fast so he raises the price again by 10%. At that final price, how many cucumbers can you buy for $4.5 assuming that there are 12 cucumbers per Kg and that only a whole number of Kgs are sold?

  A. 25

  B. 34

  C. 40

  D. 46

  E. 48

  Correct Answer: E

  1.5 x 0.82 = $1.23. $1.23 x 1.1 = 1.353$

  5 / 1.353 = 4 Kg and change = 48 cucumbers.

• Question 447:

  Mike earns $14 per hour and Phil earns $10.5 per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?

  A. 25%

  B. 32.5%

  C. 37%

  D. 37.5%

  E. 40%

  Correct Answer: A

  Mike earns (14 -10.5) $3.5 more than Phil, that is 3.5/14 = 0.25 = 25%.

• Question 448:

  An investment gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?

  A. $9,360

  B. $9,100

  C. $8,250

  D. $7,300

  E. $7,150

  Correct Answer: D

  The new monthly payment should be 1.12 x $250 = $280. Now we’ll proceed with the formula:

  Principal × percent interest = interest earned

  Solve for the principal for the 9% interest: (250 × 12)/.08= $37,500, this is what we invested before.

  Solve for the principal for the 6.5% interest: (280 × 12)/.075= $44,800, this is what we should invest with

  the new interest. (44800 – 37500 = $7,300) is the amount to be added to the prime payment.

• Question 449:

  An investment yielded an interest payment of $350 each month when the annual interest rate was 9%, what is the amount of the investment that should be invested with an annual interest rate of 8% if

  We want to gain 15% more each month?

  A. $60,375

  B. $50,400

  C. $41,300

  D. $32,500

  E. $25,100

  Correct Answer: A

  The new monthly payment should be 1.15 x $350 = $402.5. Now we’ll proceed with the formula:

  Principal × percent interest = interest earned

  Principle × (0.08)× 1/12 = $402.5.

  Solve for the principal (402.5 × 12)/.08= $60,375.

• Question 450:

  In 13.5 years Stacy will be as old as Carolyn is now. Thirty two years ago Carolyn was two and a half the age of Stacy. How old will Stacy be a decade from now?

  A. 36

  B. 47

  C. 51

  D. 64

  E. 71

  Correct Answer: C

  Translate the data into numbers: s (Stacey) + 13.5 = c (Caroline) and 2.5(s-32) = c-32. From the equations Today Stacy is 41 years old, in a decade from now she will be 51.